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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 317900t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317900.t1 | 317900t1 | \([0, 0, 0, -982600, 375844500]\) | \(-3760128/11\) | \(-306933327404000000\) | \([]\) | \(2776032\) | \(2.2260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317900t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 317900t do not have complex multiplication.Modular form 317900.2.a.t
sage: E.q_eigenform(10)